Interbasis expansions for isotropic harmonic oscillator

The exact solutions of the isotropic harmonic oscillator are reviewed in Cartesian, cylindrical polar and spherical coordinates. The problem of interbasis expansions of the eigenfunctions is solved completely. The explicit expansion coefficients of the basis for given coordinates in terms of other two coordinates are presented for lower excited states. Such a property is occurred only for those degenerated states for given principal quantum number n.     

Structural Transition of Gd2O3：Eu Induced by High Pressure

The structural transition of bulk and uano-size Gd2O3：Eu are studied by high pressure energy disperse x-ray diffraction （XRD） and high pressure photoluminescence. Our results show that in spite of different size of Gd2O3 particles, the cubic structure turns into a possible hexagonal one above 13.4 GPa. When the pressure is released, the sample reverses to the monoclinic structure. No cubic structure presents in the released samples. That is to say, the compression and relaxation of the sample leads to the cubic Gd2O3：Eu then turns into the monoclinic one.     

锂离子电池正极材料LiMnO2的掺杂及其电化学性能

采用水热法合成了用于锂离子电池正极材料的LiMxMn1-xO2(M=Mg, Y, Zr)化合物. 采用X射线衍射(XRD)、透射电子显微镜(TEM)、X射线光电子能谱(XPS)等手段对材料的晶体结构和形貌进行了表征, 材料的电化学性能通过恒流充放电和交流阻抗谱(EIS)进行测试, 分析了掺杂元素在改善材料性能中的作用. 结果表明, 掺杂后的LiMxMn1-xO2正极材料循环性能优于未经掺杂的材料. 其中以掺杂钇的i0.99Mn0.979Y0.021O2正极材料循环性能最佳, 在室温下, 充放电电流密度为50 mA·g-1时, 60次循环后放电容量为226.3 mAh·g-1.     

三个新的海绵Spongia suriganensis神经酰胺

报道从中国南海硇洲岛产海绵Spongia suriganensis的乙醇浸提物中分离得到3个新的同系列神经酰胺2-N-(1,3,4-三羟基-17-甲基)十八烷基-2'-羟基-18-甲基二十碳酰胺(1), 2-N-(1,3,4-三羟基-17-甲基)十八烷基-2'-羟基-19-甲基二十一碳酰胺(2)和2-N-(1,3,4-三羟基-17-甲基)十八烷基-2'-羟基-20-甲基二十二碳酰胺(3), 其结构经过MS, IR, ¹H NMR, ¹³C NMR (DEPT), HMQC及HMBC等现代光谱手段和水解化学方法来确定.     

沸腾回流强迫水解法制备均分散α—Fe2O3超微粒水溶胶

Matijevic等曾报道在密闭静态环境下强迫水解酸化的铁盐溶液制备出几种形状单一的微米或亚微米级的均匀α-Fe_2O_3或β-FeOOH胶体粒子。类似的工作国内亦有报道。如粒子尺寸减小到纳米量级,则体系兼有表面效应、体积效应和特殊的光学性质。我们尝试用强迫水解法制备粒径几十纳米的球形或立方形的α-Fe_2O_3均分散胶体粒子,结果获得成功。     

柔荑软珊瑚Nephthea sp.中两种具有细胞毒活性的甾醇化合物

采用抗肿瘤活性追踪法对采自中国南海西沙群岛永兴岛柔荑软珊瑚Nephthea sp.中抗肿瘤活性成分进行研究, 报道了两种具有细胞毒活性的甾醇化合物, 经过MS, IR, ¹H NMR, ¹³C NMR (DEPT), HSQC 和HMBC等光谱技术鉴定为: 24-甲基胆甾-5-烯-3β,8β-二醇(1)和24-亚甲基胆甾-4-烯-3β,6β-二醇(2), 化合物1为新化合物, 利用X-ray单晶衍射技术验证化合物2的立体结构. 化合物1对肝癌细胞(BEL-7402), 小鼠白血瘤细胞(P₃₈₈)和人结肠癌细胞(LOVO)作用的IC₅₀值分别为18.0, 25.5和20.6 μg/mL; 化合物2对肿瘤细胞P₃₈₈和人乳腺癌细胞(MCF)作用的IC₅₀值分别为1.0和2.5 μg/mL.     

The effects of unequal ionic sizes for an electrolyte in a charged slit

The modified Gouy-Chapman (MGC) theory has been used to study the electrical double layer near two charged plates immersed in a model electrolyte. The effects of assigning to the cations and anions different distances of closest approach to the charged surfaces are examined. The dependence of overcharging and charge reversal on the system parameters such as concentration, ion size and valence, is investigated both inside and outside the charged slit.     

Isolation and Crystal Structure of Stigmast-4-ene-3β,6β-diol

The title compound (C29H50O2, Mr = 430.69) was isolated from the algae Halimeda xishaensis collected from the South China Sea. Its crystal structure was determined by single-crystal X-ray diffraction for the first time. The crystal belongs to orthorhombic, space group P212121 with a = 8.1560(13), b = 10.7861 (18), c = 29.973(5) A, V = 2636.8(8)A3, Z = 4, Dc = 1.085 g/cm3, F(000)= 960, μ(Mo-Ka) = 4.533 mm-1, λ = 0.71073 A, S = 1.061, (△ρ)max= 0.382 and (△ρ)min= -0.244e/A3. The structure was refined to R = 0.0561 and wR = O. 1553 for 2711 observed reflections with I ＞ 2σ(I). X-ray diffraction analysis reveals that the title compound has two β-OH groups, and the side chain is saturated. There exist two intermolecular hydrogen bonds between three molecules.     

Pair production of the heavy leptons in future high energy linear e<Superscript>+</Superscript>e<Superscript>-</Superscript> colliders

The littlest Higgs model with T-parity predicts the existence of the T-odd particles, which can only be produced in pairs. We consider pair production of the T-odd leptons in a future high energy linear e⁺e^- collider (ILC). Our numerical results show that, as long as the T-odd leptons are not too heavy, they can be copiously produced and their possible signals might be detected via the processes e⁺e^-→L̄_iL_j in future ILC experiments.